Thank you for visiting A can has a radius of 2 inches and a volume of 62 8 cubic inches Find the height of the can a Use the. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Final answer:
To find the height of the can, we use the volume formula of a cylinder, V = πr²h, with the given volume and radius. Upon calculating, we determine the height of the can to be approximately 5 inches.
Explanation:
To find the height of a cylinder when given the volume and the radius, you would use the formula for the volume of a cylinder, which is V = πr²h. In this case, the radius (r) is 2 inches and the volume (V) is 62.8 cubic inches. We are asked to solve for the height of the cylinder (h). First, substitute the given values into the formula:
62.8 = 3.14 × (2²) × h
Next, calculate the area of the base (which is the circle with radius 2 inches):
A = πr² = 3.14 × 2² = 3.14 × 4 = 12.56 square inches
Now, to find h, we divide the volume by the area of the base:
h = V / A = 62.8 / 12.56
h ≈ 5 inches
Therefore, the height of the can is approximately 5 inches.
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